Chapter 3: Research Methods: Statistics
descriptive stats
describe a set of data
variance
how much an variable differs from the expected value
range
spread between the highest # and lowest #
mean
the average
reliability
the study can be replicated and produce the same or similar variable
false consensus effect
a bias where people tend to overestimate the extent to which their opinions, beliefs, preferences, values, and habits are normal and typical of those of other
reliability tests
a test can be reliable but invalid, but a test cannot be valid unless it is reliable, summary: a test must always be reliable
inferential stats
determine whether or not findings can be applied to the larger population from which the sample was selected
random assignment
divide certain participants into groups
validity
does the study measure what the researcher intended to measure?
group matching
ensure that the control/experimental groups are equivalent on specific criteria
Pvalue
estimate of the probability that a result is caused by chance
z-score
number of deviations from the mean or score of zero
stratified random sampling
population is divided into two or more groups (strata) based on the population, subsamples like age, grade, and income can be randomly selected from each state
scatterplots
positive > up, rising = / negative > down, falling = \ no correlation
measures of variability
range, variance, standard deviation
inferential stats must be a.....
representative of the population you wish to study
replication
research cannot be replicated without decent operationally defining variables,
internal validity
results of the experiment can be attributed to the manipulation of the independent variable rather than a confounding variable
random sampling
select people from a population, it allows you to generalize your results
standard deviation
square root of the variance, how much it deviates from the mean
what is needed to understand a number set?
statistics
hypothesis testing: type I error
thinking the results are correct, but they are not = overconfidence
true or false: a strong correlation is not enough to establish a cause and effect relationship
true
what are the percentages for standard deviation?
1 SD = 68% 2 SD = 95% 3 SD = 99%
The four zebras at the Turtle Back Zoo in West Orange, NJ are 7, 1, 9, and 14. What is the average age of the zebras at the zoo? What is the variance?
average age = 7.75 variance = 21.7
what are visual representations of frequency distributions?
barographs and histograms
hypothesis testing: type II error
being right, but think you are wrong = too nervous
correlation coefficient
between -1 and +1
external validity
extend to which findings of a study can be generalized to other contexts, generalize the population
what are the 2 types of validity
internal and external
what are inferential stats used to observe?
look at differences between experimental and control groups, sample size, and determine how those differ
From a sample, these are the ages of women who had side effects from a drug given to them: 22, 25, 42, 30, 35, 30, 39, 40, 44, 34, 38, 33, 28, 38, 29, 42, 42, and 40, what is the mean, median, and mode?
mean = 38 median = 39.24 mode = 42
Patrick has seven dogs, their ages are 11, 4, 5, 2, 6, 7, and 2, what is the mean, median, and mode?
mean = 4 median = 5 mode = 2
Emily scores a 96, 90, 100, 100, 86, 88, and 98 on her Italian quizzes, what is the mean, median, and mode?
mean = 94 median = 96 mode = 100
statistical significance
measure of the likelihood due to chance
best measure of central tendency
median
measures of central tendency
mode, mean, median
mode
most common number
